Maybe... with a slight variation for me. I think in terms (sometimes anyway) that I am eternal right now, and that I don't age and time does not really exist. There is no before and there is no after.
You may be eternal with the Earth, but by living standards you are not, for you do die a death. Time is a concept, but things do age, as old people gain wrinkles and gray hair, and salmon turn black instead of red. But there is a before and an after because things happen before, causing the 'thing' to happen after. But I understand what you mean, time is different everywhere because light hits things at different times, causing variance among age.
"Life lived" is a false concept, because they are not separated. Life lived, implies it has boundaries, that if it can be lived, it can be un-lived. I don't subscribe to that.
Describe unlive. Do you mean unlive like undead or unlive as if in die? If you mean unlived as in dying than of course it can happen. But you can live a life because living to me anyways, is being able to get through the hardships of life. So in my eyes, if you don't live life, then you are a boring blob who ,usually, is only interested in what they were taught, and not what they are capable of. We are bound to life though, of course it has boundries, you don't see giant dragons tearing holes through our demension do you? We were born into existence only knowing life, and we will die out of existence only knowing what life was like.
So as a theist, the here and now is the same as eternity.
To an atheist, when death comes it is over.